The Secret History of the Yuan Dynasty records that "the ancestor of the Yuan Dynasty was Cang Lang. Matching a poor white deer ... (omitting the experience of two animals wading through mountains and rivers) ... gave birth to a man named Batachihan. " The first section is always translated, because Mongolians write in their own words, so it is awkward to turn it over.
Moreover, the Yuan Dynasty actually had many colors similar to myths. For example, Kublai Khan's Buddhist master Bathba was called a Buddhist in the west. In addition, Quanzhen religion also developed and expanded in the Yuan Dynasty. It is said that its Taoist founder was Lv Dongbin, a real Chunyang person. The drama about the Eight Immortals crossing the sea also began to spread widely at this time.
Of course, because the Yuan Dynasty believed in Lamaism at that time and had its own writing, the localization was slow, and there was inevitably a cultural barrier, which may also be one of the reasons for feeling that there was no drama.
But at that time, many Yuan zaju were more or less mythical, so we can't deny that there was no drama, but it didn't spread, which is what we know.
In the Qing dynasty, the specific information can not be found, but it is similar to the yuan dynasty. Of course, it is undeniable that cultural autocracy, the spread of western learning to the east and the development of the times are all closely related to it. In addition, the Qing Dynasty attached great importance to Pu Xue, and paid attention to "evidence in words, test every word". The so-called myth has no place in its cultural atmosphere. However, I believe that the Qing dynasty also had its myths, but I am too shallow to find arguments.
Of course, I personally don't understand the word "divine drama", so I just take the above example as an example. Please forgive me if it is biased.